Question

4

Which equation does not have a solution?
A. -3d + 7 = -9
B. 8d + 7 = -4(-2d - 4)
C. 54+ 15 = 15
D. 2(d' + 6) = -2d - 12

Answer 1

• Option B

Explanation:

A.)

➝ -3d + 7 = -9

➝ -3d = -7 - 9

➝ -3d = -16

➝ d = -16/-3

➝ d = 16/3

• Solution is d = 16/3

B.)

➝ 8d + 7 = -4(-2d - 4)

➝ 8d + 7 = 8d + 16

➝ 8d - 8d = 16 - 7

➝ 0 = 9

• It has no solution.

C.)

➝ 5d + 15 = 15

➝ 5d = 15 - 15

➝ 5d = 0

➝ d = 5/0

➝ d = 0

• Solution is d = 0

D.)

➝ 2(d + 6) = -2d - 12

➝ 2d + 12 = -2d -12

➝ 2d + 2d = -12 -12

➝ 4d = 24

➝ d = 24/4

➝ d = 6

• Solution is d = 6

Hence,

• (Option B) 8d + 7 = -4(-2d - 4) has no solution.